G=r(12+12r)+(1-r)(8-12r)

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Solution for G=r(12+12r)+(1-r)(8-12r) equation: 


Simplifying
G = r(12 + 12r) + (1 + -1r)(8 + -12r)
G = (12 * r + 12r * r) + (1 + -1r)(8 + -12r)
G = (12r + 12r2) + (1 + -1r)(8 + -12r)

Multiply (1 + -1r) * (8 + -12r)
G = 12r + 12r2 + (1(8 + -12r) + -1r * (8 + -12r))
G = 12r + 12r2 + ((8 * 1 + -12r * 1) + -1r * (8 + -12r))
G = 12r + 12r2 + ((8 + -12r) + -1r * (8 + -12r))
G = 12r + 12r2 + (8 + -12r + (8 * -1r + -12r * -1r))
G = 12r + 12r2 + (8 + -12r + (-8r + 12r2))

Combine like terms: -12r + -8r = -20r
G = 12r + 12r2 + (8 + -20r + 12r2)

Reorder the terms:
G = 8 + 12r + -20r + 12r2 + 12r2

Combine like terms: 12r + -20r = -8r
G = 8 + -8r + 12r2 + 12r2

Combine like terms: 12r2 + 12r2 = 24r2
G = 8 + -8r + 24r2

Solving
G = 8 + -8r + 24r2

Solving for variable 'G'.

Move all terms containing G to the left, all other terms to the right.

Simplifying
G = 8 + -8r + 24r2

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